Finding the Third Proportional to 47.81 and 103.31

Step by Step Solution

1. Step 1: Write the proportion equation
   47.81 : 103.31 = 103.31 : x
2. Step 2: Convert to fraction form
   47.81/103.31 = 103.31/x
3. Step 3: Cross multiply
   47.81x = 103.31 × 103.31
4. Step 4: Simplify right side
   47.81x = 10,673.47
5. Step 5: Solve for x
   x = 10,673.47/47.81
6. Step 6: Final answer
   x = 223.24